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This is the first collective study of a foundational text in modern philosophy and logic, Gottlob Frege's Basic Laws of Arithmetic. Twenty-two Frege scholars discuss a wide range of philosophical and logical topics arising from Basic Laws of Arithmetic, and demonstrate the technical and philosophical richness of this great work.
List of contents
- Foreword
- 1: Richard Kimberly Heck: The Basic Laws of Cardinal Number
- 2: Patricia Blanchette: Axioms in Frege
- 3: Walter B. Pedriali: When Logic Gives Out: Frege on Basic Logical Laws
- 4: Øystein Linnebo: The Context Principle in Frege's Grundgesetze
- 5: Joan Weiner: Why Does Frege Care Whether Julius Caesar is a Numbera Section 10 of Basic Laws and the Context Principle
- 6: Kevin C. Klement: Grundgesetze and the Sense/Reference Distinction
- 7: Peter Simons: Double Value-Ranges
- 8: Robert C. May and Kai F. Wehmeier: The Proof of Hume's Principle
- 9: William Stirton: Frege's Theorems on Simple Series
- 10: Jamie Tappenden: Infinitesimals, Magnitudes, and Definition in Frege
- 11: Erich H. Reck: Frege's Relation to Dedekind: Basic Laws and Beyond
- 12: Michael Hallett: Frege on Creation
- 13: Philip A. Ebert and Marcus Rossberg: Mathematical Creation in Frege's Grundgesetze
- 14: Eric Snyder and Stewart Shapiro: Frege on the Real Numbers
- 15: Roy T. Cook: Frege's Little Theorem and Frege's Way Out
- 16: Crispin Wright: How did the serpent of inconsistency enter Frege's paradise?
- 17: Matthias Schirn: Second-Order Abstraction Before and After Russell's Paradox
- 18: Richard Kimberly Heck: Formal Arithmetic Before Grundgesetze
- 19: Michael Kremer: Definitions in Begriffsschrift and Grundgesetze
- 20: Michael Beaney: A Brief History of English Translations of Frege's Writings
- 21: Michael Beaney: Translating 'Bedeutung' in Frege's Writings: A Case Study and Cautionary Tale in the History and Philosophy of Translation
- 22: Philip A. Ebert and Marcus Rossberg: Contemporary Reviews of Frege's Grundgesetze
About the author
Philip A. Ebert is Senior Lecturer in Philosophy at the University of Stirling. He received his PhD in Philosophy from the University of St Andrews in 2006 and was a Postdoctoral Research Fellow at the Arché Research Centre from 2005 to 2007.
Marcus Rossberg is Associate Professor of Philosophy at the University of Connecticut. He received his PhD in Philosophy from the University of St Andrews in 2006 and was a Postdoctoral Research Fellow at the Arché Research Centre from 2005 to 2008.
Summary
This is the first collective study of a foundational text in modern philosophy and logic, Gottlob Frege's Basic Laws of Arithmetic. Twenty-two Frege scholars discuss a wide range of philosophical and logical topics arising from Basic Laws of Arithmetic, and demonstrate the technical and philosophical richness of this great work.
